66274105600 has 432 divisors, whose sum is σ = 181074035520. Its totient is φ = 23914086400.

The previous prime is 66274105531. The next prime is 66274105613. The reversal of 66274105600 is 650147266.

It is a happy number.

66274105600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 66274105600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370246311 + ... + 370246489.

It is an arithmetic number, because the mean of its divisors is an integer number (419152860).

Almost surely, 2^66274105600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66274105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90537017760).

66274105600 is an abundant number, since it is smaller than the sum of its proper divisors (114799929920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66274105600 is a wasteful number, since it uses less digits than its factorization.

66274105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 66274105600 in words is "sixty-six billion, two hundred seventy-four million, one hundred five thousand, six hundred".